The velocity profile inside the boundary layer for flow over a flat plate is given as \(\frac{u}{{{u_\infty }}} = \sin \left( {\frac{\pi }{2}\frac{y}{\delta }} \right),\)Where U∞ is the free stream velocity, δ is the local boundary layer thickness. If δ* is the local displacement thickness, the value of \(\frac{{{\delta ^*}}}{\delta }\) is

• A. \(\frac{2}{\pi }\)
• B. \(1 - \frac{2}{\pi }\)
• C. \(1 + \frac{2}{\pi }\)
• D. 0